Find the LCM of 397, 899, 150, 899, 761 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 397, 899, 150, 899, 761. So, keep reading to learn more.
Given numbers are 397,899,150,899,761
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 397,899,150,899,761 is 40740477450.
Find LCM of 397,899,150,899,761 with Prime Factorization
29 | 397, 899, 150, 899, 761 |
31 | 397, 31, 150, 31, 761 |
397, 1, 150, 1, 761 |
Multiply the prime numbers at the bottom and the left side.
29 x 31 x 397 x 1 x 150 x 1 x 761 = 40740477450
Therefore, the lowest common multiple of 397,899,150,899,761 is 40740477450.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
397 x 899 x 150 x 899 x 761 = 36625689227550
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
397 : 1, 397
899 : 1, 29, 31, 899
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
899 : 1, 29, 31, 899
761 : 1, 761
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 397,899,150,899,761, is 1.
Now, the common factors can be found like this.
397:397
899:29x 31
150:2x 3x 5x 5
899:29x 31
761:761
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
29x 31 = 899
Therefore, the value for common factors is 899.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 36625689227550/(1x899)
LCM = 36625689227550/899
LCM = 40740477450
Thus, we can understand that the LCM of 397,899,150,899,761 is 40740477450.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 397, 899, 150, 899, 761?
Answer: LCM of 397, 899, 150, 899, 761 is 40740477450.
2. How to calculate the LCM of 397, 899, 150, 899, 761?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 397, 899, 150, 899, 761.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.